IDEAS home Printed from https://ideas.repec.org/a/spr/snbeco/v5y2025i6d10.1007_s43546-025-00841-8.html
   My bibliography  Save this article

Comparing Cobb–Douglas and translog stochastic frontier models for estimating technical efficiency in rice farming in Northwestern Nigeria

Author

Listed:
  • Oyeyode Tohib Obalola

    (Usmanu Danfodiyo University
    Centre of Excellence in Agricultural Development and Sustainable Environment, CEADESE, Federal University of Agriculture)

  • Abiodun Elijah Obayelu

    (Federal University of Agriculture)

  • Adeleke Sabitu Coster

    (Federal University of Agriculture)

  • Cornelius Idowu Alarima

    (Federal University of Agriculture)

Abstract

This study explores the technical efficiency of rice farmers in northwestern Nigeria by comparing the Cobb–Douglas and translog production functions. To address the gap in understanding the most suitable model, a multistage sampling technique was used to select 370 farmers, and the data were analysed via the stochastic frontier model. The findings indicate that the translog model, which is superior to the Cobb–Douglas model, resulted in increasing returns to scale, with significant effects on farm size, seeds, and fertilizer. This study revealed few significant input interactions, notably between labour-chemicals, seed-fertilizers, and seed-chemicals, highlighting the importance of complementary input use in optimizing rice production efficiency. Cobb–Douglas revealed decreasing returns with significant changes in farm size, labour, seeds, and fertilizer. The Harman single-factor test revealed no significant common method bias in the data, confirming the validity of the findings and enhancing the reliability of the estimates. Sex, education, and poverty status positively influence efficiency. The negative factors included land rights, distance to market, and livestock size. Overall, the translog production function was recommended for accurately estimating the technical efficiency of rice production, emphasizing the need for appropriate model selection on the basis of statistical properties. To increase the technical efficiency and productivity among rice farmers in northwestern Nigeria, agricultural policies should prioritize access to quality seeds, fertilizer, and optimized farm size management, as these inputs significantly influence efficiency under the preferred translog production function.

Suggested Citation

  • Oyeyode Tohib Obalola & Abiodun Elijah Obayelu & Adeleke Sabitu Coster & Cornelius Idowu Alarima, 2025. "Comparing Cobb–Douglas and translog stochastic frontier models for estimating technical efficiency in rice farming in Northwestern Nigeria," SN Business & Economics, Springer, vol. 5(6), pages 1-23, June.
  • Handle: RePEc:spr:snbeco:v:5:y:2025:i:6:d:10.1007_s43546-025-00841-8
    DOI: 10.1007/s43546-025-00841-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s43546-025-00841-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s43546-025-00841-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Coelli, Tim J., 1995. "Recent Developments In Frontier Modelling And Efficiency Measurement," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 39(3), pages 1-27, December.
    2. Chukwujekwu A. Obianefo & John N. Ng’ombe & Agness Mzyece & Blessing Masasi & Ngozi J. Obiekwe & Oluchi O. Anumudu, 2021. "Technical Efficiency and Technological Gaps of Rice Production in Anambra State, Nigeria," Agriculture, MDPI, vol. 11(12), pages 1-13, December.
    3. Meeusen, Wim & van den Broeck, Julien, 1977. "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 435-444, June.
    4. Hambur Wang, 2024. "The Impact of Farmers' Borrowing Behavior on Agricultural Production Technical Efficiency," Papers 2411.00500, arXiv.org.
    5. Julian Ramajo & Miguel A. Marquez & Geoffrey J. D. Hewings, 2021. "Addressing spatial dependence in technical efficiency estimation: A Spatial DEA frontier approach," Papers 2103.14063, arXiv.org.
    6. Rafael Araujo & Vitor Possebom, 2025. "Potato Potahto in the FAO-GAEZ Productivity Measures? Nonclassical Measurement Error with Multiple Proxies," Papers 2502.12141, arXiv.org, revised May 2025.
    7. Amar Oukil & Slim Zekri, 2021. "Investigating farming efficiency through a two stage analytical approach: Application to the agricultural sector in Northern Oman," Papers 2104.10943, arXiv.org.
    8. Kodde, David A & Palm, Franz C, 1986. "Wald Criteria for Jointly Testing Equality and Inequality Restriction s," Econometrica, Econometric Society, vol. 54(5), pages 1243-1248, September.
    9. Ahmad, Munir & Boris E., Bravo-Ureta, 1996. "Technical efficiency measures for dairy farms using panel data: a comparison of alternative model specifications," MPRA Paper 37703, University Library of Munich, Germany.
    10. Battese, G E & Coelli, T J, 1995. "A Model for Technical Inefficiency Effects in a Stochastic Frontier Production Function for Panel Data," Empirical Economics, Springer, vol. 20(2), pages 325-332.
    11. Fuller, Christie M. & Simmering, Marcia J. & Atinc, Guclu & Atinc, Yasemin & Babin, Barry J., 2016. "Common methods variance detection in business research," Journal of Business Research, Elsevier, vol. 69(8), pages 3192-3198.
    12. Shaibu Baanni Azumah & Samuel Arkoh Donkoh & Joseph Agebase Awuni, 2019. "Correcting for sample selection in stochastic frontier analysis: insights from rice farmers in Northern Ghana," Agricultural and Food Economics, Springer;Italian Society of Agricultural Economics (SIDEA), vol. 7(1), pages 1-15, December.
    13. Timothy J. Coelli & D.S. Prasada Rao & Christopher J. O’Donnell & George E. Battese, 2005. "An Introduction to Efficiency and Productivity Analysis," Springer Books, Springer, edition 0, number 978-0-387-25895-9, July.
    14. Renato Villano & Boris Bravo-Ureta & Daniel Solís & Euan Fleming, 2015. "Modern Rice Technologies and Productivity in the Philippines: Disentangling Technology from Managerial Gaps," Journal of Agricultural Economics, Wiley Blackwell, vol. 66(1), pages 129-154, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ali M. Oumer & Amin Mugera & Michael Burton & Atakelty Hailu, 2022. "Technical efficiency and firm heterogeneity in stochastic frontier models: application to smallholder maize farms in Ethiopia," Journal of Productivity Analysis, Springer, vol. 57(2), pages 213-241, April.
    2. Roengchai Tansuchat, 2023. "A Copula-Based Meta-Stochastic Frontier Analysis for Comparing Traditional and HDPE Geomembranes Technology in Sea Salt Farming among Farmers in Phetchaburi, Thailand," Agriculture, MDPI, vol. 13(4), pages 1-23, March.
    3. Hanousek, Jan & Kočenda, Evžen & Mašika, Michal, 2012. "Firm efficiency: Domestic owners, coalitions, and FDI," Economic Systems, Elsevier, vol. 36(4), pages 471-486.
    4. Wasantha Athukorala & Clevo Wilson, 2012. "Groundwater overuse and farm-level technical inefficiency: evidence from Sri Lanka," School of Economics and Finance Discussion Papers and Working Papers Series 279, School of Economics and Finance, Queensland University of Technology.
    5. Nguyen, Hoa-Thi-Minh & Do, Huong & Kompas, Tom, 2021. "Economic efficiency versus social equity: The productivity challenge for rice production in a ‘greying’ rural Vietnam," World Development, Elsevier, vol. 148(C).
    6. Navichoc, David & Alamneh, Mengistu & Mortara Batistic, Paulo & Dietz, Thomas & Kilian, Bernard, 2024. "Voluntary sustainability standards and technical efficiency of Honduran smallholder coffee producers," World Development Perspectives, Elsevier, vol. 36(C).
    7. Quoc Ngu Vu, 2002. "Technical Efficiency of Vietnamese Industrial SOEs and Non-SOEs," International and Development Economics Working Papers idec02-6, International and Development Economics.
    8. Ei Thazin Soe & Yoshifumi Takahashi & Mitsuyasu Yabe, 2024. "Adoption of Improved Soybean Varieties and Differences in Technical Efficiency Between Improved and Local Soybean Varieties in Southern Shan State, Myanmar," Journal of Agricultural Science, Canadian Center of Science and Education, vol. 12(8), pages 1-55, April.
    9. Prakash, Navendu & Singh, Shveta & Sharma, Seema, 2021. "Technological diffusion, banking efficiency and Solow's paradox: A frontier-based parametric and non-parametric analysis," Structural Change and Economic Dynamics, Elsevier, vol. 58(C), pages 534-551.
    10. Lazović-Pita Lejla & Šćeta Lamija, 2021. "A Stochastic Frontier Approach to Measuring Inefficiency of Local Communities in Bosnia and Herzegovina," South East European Journal of Economics and Business, Sciendo, vol. 16(1), pages 18-29, June.
    11. Jiang, Nan & Sharp, Basil, 2014. "Cost Efficiency of Dairy Farming in New Zealand: A Stochastic Frontier Analysis," Agricultural and Resource Economics Review, Cambridge University Press, vol. 43(3), pages 406-418, December.
    12. Jyotsna Rosario & K.R. Shanmugam, 2024. "Elementary Education Outcome Efficiency of Indian States: A Ray Frontier Approach," Working Papers 2024-264, Madras School of Economics,Chennai,India.
    13. Ather Hassan Dar & Somesh Kumar Mathur & Sila Mishra, 2021. "The Efficiency of Indian Banks: A DEA, Malmquist and SFA Analysis with Bad Output," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 19(4), pages 653-701, December.
    14. Peter Dawson & Stephen Dobson & Bill Gerrard, 2000. "Stochastic Frontiers and the Temporal Structure of Managerial Efficiency in English Soccer," Journal of Sports Economics, , vol. 1(4), pages 341-362, November.
    15. Justina Adwoa ONUMAH & Edward Ebo ONUMAH & Ramatu Mahama AL-HASSAN & Bernhard BRÜMMER, 2013. "Meta-frontier analysis of organic and conventional cocoa production in Ghana," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 59(6), pages 271-280.
    16. Hayatullah Ahmadzai, 2022. "Hope for Change: Is Diversifying Production Portfolios an Ideal Strategy to Boost Farming Efficiency in Afghanistan?," Progress in Development Studies, , vol. 22(1), pages 7-31, January.
    17. Abdulai, Yahaya & bdul-Jalil, Ma-Azu A & Hubeida, Abdulai, 2024. "Assessing The Economic Efficiency of Contract and Non-Contract Soybean Farmers in The Northern Region of Ghana," International Journal of Food and Agricultural Economics (IJFAEC), Alanya Alaaddin Keykubat University, Department of Economics and Finance, vol. 12(3), July.
    18. Bravo-Ureta, Boris E. & Higgins, Daniel & Arslan, Aslihan, 2020. "Irrigation infrastructure and farm productivity in the Philippines: A stochastic Meta-Frontier analysis," World Development, Elsevier, vol. 135(C).
    19. Konstantinos Giannakas & K. Tran & Vangelis Tzouvelekas, 1999. "On the Choice of Functional Form in Stochastic Frontiers Models: A Box-Cox Approach," Working Papers 9915, University of Crete, Department of Economics.
    20. Jacob Asravor & Alexander N. Wiredu & Khalid Siddig & Edward E. Onumah, 2019. "Evaluating the Environmental-Technology Gaps of Rice Farms in Distinct Agro-Ecological Zones of Ghana," Sustainability, MDPI, vol. 11(7), pages 1-16, April.

    More about this item

    Keywords

    Stochastic frontier model; Translog; Cobb–Douglas; Technical efficiency; Akaike information criterion; Harman single-factor; Rice farmers;
    All these keywords.

    JEL classification:

    • D18 - Microeconomics - - Household Behavior - - - Consumer Protection
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • O13 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
    • Q12 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Micro Analysis of Farm Firms, Farm Households, and Farm Input Markets
    • Q15 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Land Ownership and Tenure; Land Reform; Land Use; Irrigation; Agriculture and Environment
    • Q18 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Agricultural Policy; Food Policy; Animal Welfare Policy

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:snbeco:v:5:y:2025:i:6:d:10.1007_s43546-025-00841-8. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.